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What is the correct notation (for scientific notation) for the following equation?

y = (3.01x10³⁴)/(6.02x10²³)

User Pronix
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1 Answer

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Final answer:

The equation y = (3.01x10³⁴)/(6.02x10²³) is correctly expressed in scientific notation as y = 5.0 x 10±⁰ after dividing the coefficients and subtracting the exponents.

Step-by-step explanation:

The correct notation for the scientific notation of the equation y = (3.01x10³⁴)/(6.02x10²³) involves dividing the coefficients (3.01/6.02) and then subtracting the exponents (34 - 23) in the scientific notation. To divide the coefficients, 3.01 divided by 6.02 equals 0.5. Since 0.5 is not between 1 and 10, we need to adjust it to fit the format of scientific notation. Therefore, we express 0.5 as 5.0 times 10 to the negative first power (5.0 x 10^-1).

Next, we subtract the exponents: 34 - 23 = 11. Thus, we combine the result of dividing the coefficients with the result of subtracting the exponents to express the answer in proper scientific notation: y = 5.0 x 10^(11-1) or y = 5.0 x 10±⁰.

User Vsevolod Dyomkin
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